14224100132100 has 72 divisors (see below), whose sum is σ = 41235918232320. Its totient is φ = 3785641278080.

The previous prime is 14224100132087. The next prime is 14224100132101. The reversal of 14224100132100 is 123100142241.

It is not an unprimeable number, because it can be changed into a prime (14224100132101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46422612 + ... + 46728011.

It is an arithmetic number, because the mean of its divisors is an integer number (572721086560).

Almost surely, 2^{14224100132100} is an apocalyptic number.

14224100132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224100132100 is an abundant number, since it is smaller than the sum of its proper divisors (27011818100220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14224100132100 is a wasteful number, since it uses less digits than its factorization.

14224100132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93151149 (or 93151142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14224100132100 its reverse (123100142241), we get a palindrome (14347200274341).

The spelling of 14224100132100 in words is "fourteen trillion, two hundred twenty-four billion, one hundred million, one hundred thirty-two thousand, one hundred".